{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 溶液电导率随温度变化规律\n",
    "--------------\n",
    "\n",
    "溶液的电导率会随温度变化，其一般规律为：溶液温度每上升1℃，其电导率就会增加一定比率。这个比率称为温度系数，数值通常为 $ 2\\% $ 左右。\n",
    "\n",
    "设溶液的温度系数为 $ a $，在初始温度为 $ t_0 $ 时其电导率为 $ K_0 $，则当温度为 $ t $ 时其电导率 $ K_t $ 为：$$ K_t = K_0[1 + \\alpha(t - t_0)] $$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import sympy as sp\n",
    "import pandas as pd\n",
    "from scipy import optimize\n",
    "sp.init_printing()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "测量标准浓度（1x）净化剂、1/2浓度（1/2x）、1/3浓度（1/3x）、1/4浓度（1/4x）、1/5浓度（1/5x）、自来水（water）及将标准浓度的溶液静置一天后（1x2）的溶液在温度分别为25.0， 30.0, 34.9， 39.7， 44.5， 49.2， 53.7， 58.0（℃）下的电导率数值："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1/2x</th>\n",
       "      <th>1/3x</th>\n",
       "      <th>1/4x</th>\n",
       "      <th>1/5x</th>\n",
       "      <th>1x</th>\n",
       "      <th>1x2</th>\n",
       "      <th>water</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1666</td>\n",
       "      <td>0</td>\n",
       "      <td>1079</td>\n",
       "      <td>0</td>\n",
       "      <td>3830</td>\n",
       "      <td>2240</td>\n",
       "      <td>133.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1797</td>\n",
       "      <td>1155</td>\n",
       "      <td>1134</td>\n",
       "      <td>849</td>\n",
       "      <td>4100</td>\n",
       "      <td>2440</td>\n",
       "      <td>154.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1930</td>\n",
       "      <td>1312</td>\n",
       "      <td>1204</td>\n",
       "      <td>894</td>\n",
       "      <td>4380</td>\n",
       "      <td>2740</td>\n",
       "      <td>167.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2070</td>\n",
       "      <td>1400</td>\n",
       "      <td>1284</td>\n",
       "      <td>1035</td>\n",
       "      <td>4680</td>\n",
       "      <td>2970</td>\n",
       "      <td>179.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2220</td>\n",
       "      <td>1483</td>\n",
       "      <td>1365</td>\n",
       "      <td>1095</td>\n",
       "      <td>5020</td>\n",
       "      <td>3240</td>\n",
       "      <td>198.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2360</td>\n",
       "      <td>1567</td>\n",
       "      <td>1430</td>\n",
       "      <td>1150</td>\n",
       "      <td>5330</td>\n",
       "      <td>3860</td>\n",
       "      <td>215.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2500</td>\n",
       "      <td>1672</td>\n",
       "      <td>1473</td>\n",
       "      <td>1227</td>\n",
       "      <td>5640</td>\n",
       "      <td>4170</td>\n",
       "      <td>235.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2640</td>\n",
       "      <td>1760</td>\n",
       "      <td>1552</td>\n",
       "      <td>1288</td>\n",
       "      <td>5890</td>\n",
       "      <td>4550</td>\n",
       "      <td>256.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   1/2x   1/3x   1/4x   1/5x   1x     1x2    water\n",
       "0   1666      0   1079      0   3830   2240  133.2\n",
       "1   1797   1155   1134    849   4100   2440  154.4\n",
       "2   1930   1312   1204    894   4380   2740  167.1\n",
       "3   2070   1400   1284   1035   4680   2970  179.5\n",
       "4   2220   1483   1365   1095   5020   3240  198.0\n",
       "5   2360   1567   1430   1150   5330   3860  215.0\n",
       "6   2500   1672   1473   1227   5640   4170  235.0\n",
       "7   2640   1760   1552   1288   5890   4550  256.0"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ts = np.array([25.0, 30.0, 34.9, 39.7, 44.5, 49.2, 53.7, 58.0])\n",
    "data = {'1x   ': np.array([3830, 4100, 4380, 4680, 5020, 5330, 5640, 5890]),\n",
    "        '1/2x ': np.array([1666, 1797, 1930, 2070, 2220, 2360, 2500, 2640]),\n",
    "        '1/3x ': np.array([0, 1155, 1312, 1400, 1483, 1567, 1672, 1760]),\n",
    "        '1/4x ': np.array([1079, 1134, 1204, 1284, 1365, 1430, 1473, 1552]),\n",
    "        '1/5x ': np.array([0, 849, 894, 1035, 1095, 1150, 1227, 1288]),\n",
    "        '1x2  ': np.array([2240, 2440, 2740, 2970, 3240, 3860, 4170, 4550]),\n",
    "        'water': np.array([133.2, 154.4, 167.1, 179.5, 198.0, 215, 235, 256])}\n",
    "\n",
    "df = pd.DataFrame(data)\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "用最小二乘法作曲线拟合求出各溶液的温度系数并绘图对比测量数值和拟合后的数值如下："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1/5x : \t 1.88 %\n",
      "1/3x : \t 1.91 %\n",
      "water: \t 2.65 %\n",
      "1/4x : \t 1.31 %\n",
      "1/2x : \t 1.73 %\n",
      "1x   : \t 1.61 %\n",
      "1x2  : \t 2.87 %\n"
     ]
    },
    {
     "data": {
      "image/png": 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HL9zINy0T7MPpEmZaDbxUtRL4SEQua1H2BfCF/+cvRaQeSMLFHAnD6BKUb3H2G1v8FOyu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Dw/DmZfah1+nzQd7s2HC2cec9AFMOu6NGZMSWZkfCwzpiQz67rD/1bWYbeL8CuTtr0pLaZ0gMta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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2c8a8e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(4,2,sharex=True)\n",
    "fig.set_size_inches(10,10)\n",
    "adct = {}\n",
    "i = 0\n",
    "for s, ys in data.items():\n",
    "    if ys[0] == 0:\n",
    "        x = ts[1:]\n",
    "        y = ys[1:]\n",
    "    else:\n",
    "        x = ts\n",
    "        y = ys\n",
    "        \n",
    "    t0 = x[0]\n",
    "    k0 = y[0]\n",
    "    fit = lambda t, a: k0 * (1 + a * (t - t0))\n",
    "\n",
    "    guess = [0.02]\n",
    "    params, params_covariance = optimize.curve_fit(fit, x, y, guess)\n",
    "    ra =  params[0]\n",
    "    adct[s] = ra\n",
    "    rfit = lambda t: k0 * (1 + ra * (t - t0))\n",
    "    \n",
    "    ax = axs[int(i % 4)][int(i / 4)]\n",
    "    ax.plot(x, y, '*')\n",
    "    ax.plot(ts, rfit(ts))\n",
    "    ax.set_title(s)\n",
    "    ax.grid(linestyle='--')\n",
    "    i += 1\n",
    "    \n",
    "    print('{}: \\t {:.2f} %'.format(s, ra * 100))\n"
   ]
  }
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